Concentration-diffusion phenomena of heat convection in an incompressible fluid

نویسندگان

  • Reinhard Farwig
  • Raphael Schulz
  • Masao Yamazaki
چکیده

We study in the whole space Rn the behaviour of solutions to the Boussinesq equations at large distances. Therefore, we investigate the solvability of these equations in weighted L∞-spaces and determine the asymptotic profile for sufficiently fast decaying initial data. For n = 2, 3 we are able to construct initial data such that the velocity exhibits an interesting concentration-diffusion phenomenon.

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عنوان ژورنال:
  • Asymptotic Analysis

دوره 88  شماره 

صفحات  -

تاریخ انتشار 2014